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ExtremeBDS [4]
1 year ago
10

Right triangle JKL is inscribed in circle N. Find the area of the shaded region.

Mathematics
2 answers:
Sergio [31]1 year ago
7 0

Answer:

1272.2 units²

Step-by-step explanation:

This problem requires several steps.

1. The shaded area is the area of the circle minus the area of the triangle.

2. The area of the circle can be found using the radius. We are not given the radius, but using the right triangle, we can fond the diameter. Then the radius is half of the diameter.

3. The area of the triangle is base × height / 2. The base and the height are the given lengths of the legs.

Let's use the Pythagorean theorem with the triangle to find the diameter. The diameter is the hypotenuse of the right triangle.

a² + b² = c²

40² + 9² = c²

1600 + 81 = c²

c² = 1681

c = √1681

c = 41

The diameter of the circle is 41.

radius = diameter/2 = 41/2 = 21.5

The radius of the circle is 21.5

shaded area = area of circle - area of triangle

area of circle = πr²

area of triangle = bh/2

shaded area = πr² - bh/2

shaded area = (3.14159)(21.5)² - (40)(9)/2

shaded area = 1452.2 - 180

shaded area = 1272.2 units²

defon1 year ago
4 0
Answer : 9 units? Im not sure
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The measure of angle 3 is 42°. <br><br> What is the measure of angle 1 in degrees?
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Answer:

Angle 1 is 48°

Step-by-step explanation:

So angle 1 + angle 2 + angle 3 = 180°

Angle 2 = 90°

Angle 3 = 42°

180 - 90 - 42 =  48°

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Step-by-step explanation:

Just took the test and got it correct.

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3 years ago
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the population of a town was 650000. Due to an epidemic,the population of the town went down by 12%.Find the current population
Dimas [21]

Answer:

572000

Step-by-step explanation:

The population reduced by 12%, so (100-12)=88% is remaining.

So, 88% of 650000= 0.88 x 650000

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What is the domain of the function shown on the graph?
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Answer:

Step-by-step explanation:

Looking at the arrows on the graph, it appears that as the graph keep growing UP unbounded, it also keeps growing to the left unbounded (to negative infinity, to be exact). Looking to the right, it appears that as the graph decreases unbounded (the y values keep getting smaller), the graph keeps growing in the x direct to positive infinity. So the domain is

- ∞ < x < ∞

4 0
3 years ago
The test to detect the presence of respiratory syncytial virus is 97% accurate for a person who has the virus and 99% accurate f
Setler79 [48]

Answer:

The probability that a randomly selected person gets incorrect result is 2.2 × 10⁻⁴

Step-by-step explanation:

The parameters given are;

The accuracy of the test for a person who has the respiratory synctial virus = 97%

The accuracy of the test for a person who does not have the respiratory synctial virus = 99%

We have;

a = TP =

b = FP

c = FN

d = TN

a/(a + c) = 0.97

d/(d + b) = 0.99

a/(a + b) = 0.97*0.0055/(0.97*0.0055 + (1 - 0.99)*(1-0.0055))

PPV = 0.349 = 34.9%

Therefore, we have;

a/(a + c) = 0.97 and

a/(a + b)  =  0.349

0.97(a + c) =0.349(a + b)

(0.97 - 0.349)a = 0.349·b - 0.97·c

a = (0.349·b - 0.97·c)0.621

b × (1 - 0.0055) = (1 - 0.97)×(1 - 0.0055)

b = 1 - 0.97 = 0.03

Similarly,

c = 1 - 0.99 = 0.01

The proportion of the population that have false positive and false negative = 0.03 + 0.01 = 0.04 = 4%

The probability that a randomly selected person gets incorrect result = 0.04×0.0055 = 0.00022.

5 0
2 years ago
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